SOLUTION: Write the expression in the form a + bi. {{{(4-4i)/(5+3i)}}}

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Question 46790: Write the expression in the form a + bi.
%284-4i%29%2F%285%2B3i%29
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
To eliminate the complex denominator, Multiply top and bottom by the conjugate of the denominator:
%28%284-4i%29%285-3i%29%29%2F%28%285%2B3i%29%285-3i%29%29
%2820-12i-20i%2B12i%5E2%29%2F%2825-9i%5E2%29
%2820-32i-12%29%2F%2825%2B9%29
%288-32i%29%2F%2834%29
4%2F17-%2816%2F17%29i
I hope this helps,
Adam
P.S. please visit my website, it may be helpful to you. The address is www.geocities.com/quibowibbler